<h4>Tool</h4><table border="0"><tr><td valign="top"><b>Name</b></td><td valign="top">GWR for Single Predictor Grid</td></tr><tr><td valign="top"><b>ID</b></td><td valign="top">4</td></tr><tr><td valign="top"><b>Author</b></td><td valign="top">O.Conrad (c) 2010</td></tr><tr><td valign="top"><b>Specification</b></td><td valign="top">grid</td></tr></table><hr><h4>Description</h4>Geographically Weighted Regression for a single predictor supplied as grid, to which the regression model is applied. Further details can be stored optionally.
Reference:
- Fotheringham, S.A., Brunsdon, C., Charlton, M. (2002):  Geographically Weighted Regression: the analysis of spatially varying relationships. John Wiley & Sons.  <a target="_blank" href="http://onlinelibrary.wiley.com/doi/10.1111/j.1538-4632.2003.tb01114.x/abstract">online</a>.

- Fotheringham, S.A., Charlton, M., Brunsdon, C. (1998):  Geographically weighted regression: a natural evolution of the expansion method for spatial data analysis.  Environment and Planning A 30(11), 1905?927.  <a target="_blank" href="http://www.envplan.com/abstract.cgi?id=a301905">online</a>.

- Lloyd, C. (2010):  Spatial Data Analysis - An Introduction for GIS Users. Oxford, 206p.
<hr><h4>Parameters</h4><table border="1" width="100%" valign="top" cellpadding="5" rules="all"><tr><th>Name</th><th>Type</th><th>Identifier</th><th>Description</th><th>Constraints</th></tr>
<tr><th colspan="5">Input</th></tr><tr><td>Points </td><td>Shapes (input)</td><td>POINTS</td><td></td><td></td></tr><tr><td>Predictor </td><td>Grid (input)</td><td>PREDICTOR</td><td></td><td></td></tr><tr><th colspan="5">Output</th></tr><tr><td>Residuals (*)</td><td>Shapes (optional output)</td><td>RESIDUALS</td><td></td><td></td></tr><tr><td>Regression</td><td>Grid (output)</td><td>REGRESSION</td><td></td><td></td></tr><tr><td>Coefficient of Determination (*)</td><td>Grid (optional output)</td><td>QUALITY</td><td></td><td></td></tr><tr><td>Intercept (*)</td><td>Grid (optional output)</td><td>INTERCEPT</td><td></td><td></td></tr><tr><td>Slope (*)</td><td>Grid (optional output)</td><td>SLOPE</td><td></td><td></td></tr><tr><th colspan="5">Options</th></tr><tr><td>Dependent Variable</td><td>Table field</td><td>DEPENDENT</td><td></td><td></td></tr><tr><td>Weighting Function</td><td>Choice</td><td>DW_WEIGHTING</td><td></td><td>Available Choices:
[0] no distance weighting
[1] inverse distance to a power
[2] exponential
[3] gaussian weighting
Default: 3</td></tr><tr><td>Inverse Distance Weighting Power</td><td>Floating point</td><td>DW_IDW_POWER</td><td></td><td>Minimum: 0.000000
Default: 1.000000</td></tr><tr><td>Inverse Distance Offset</td><td>Boolean</td><td>DW_IDW_OFFSET</td><td>Calculates weights for distance plus one, avoiding division by zero for zero distances</td><td>Default: 1</td></tr><tr><td>Gaussian and Exponential Weighting Bandwidth</td><td>Floating point</td><td>DW_BANDWIDTH</td><td></td><td>Minimum: 0.000000
Default: 1.000000</td></tr><tr><td>Search Range</td><td>Choice</td><td>SEARCH_RANGE</td><td></td><td>Available Choices:
[0] local
[1] global
Default: 0</td></tr><tr><td>Maximum Search Distance</td><td>Floating point</td><td>SEARCH_RADIUS</td><td>local maximum search distance given in map units</td><td>Minimum: 0.000000
Default: 1000.000000</td></tr><tr><td>Number of Points</td><td>Choice</td><td>SEARCH_POINTS_ALL</td><td></td><td>Available Choices:
[0] maximum number of nearest points
[1] all points within search distance
Default: 0</td></tr><tr><td>Minimum</td><td>Integer</td><td>SEARCH_POINTS_MIN</td><td>minimum number of points to use</td><td>Minimum: 1
Default: 16</td></tr><tr><td>Maximum</td><td>Integer</td><td>SEARCH_POINTS_MAX</td><td>maximum number of nearest points</td><td>Minimum: 1
Default: 20</td></tr><tr><td>Direction</td><td>Choice</td><td>SEARCH_DIRECTION</td><td></td><td>Available Choices:
[0] all directions
[1] quadrants
Default: 0</td></tr></table>(*) <i>optional</i>